Answer:
d. 52 degrees
Step-by-step explanation:
First, create an equation, then solve for x.
(9x + 7) + (10x + 8) = 110° (exterior angle theorem)
Solve for x
9x + 7 + 10x + 8 = 110
Add like terms
19x + 15 = 110
Subtract 15 from each side
19x = 110 - 15
19x = 95
Divide both sides by 19
x = 95/19
x = 5
Next, find m<H
m<H = 9x + 7
Plug in the value of x
m<H = 9(5) + 7 = 45 + 7
m<H = 52°
